Preheat the oven to 180°C (fan).
Prepare the flax egg by mixing 1 tbsp ground flaxseed with 3 tbsp water in a small bowl. Stir thoroughly and leave to sit for 5 minutes until it thickens.
In a large bowl, combine the dry ingredients: flour, coconut sugar, baking powder, and cocoa powder.
In another large bowl, mix the wet ingredients: oil, plant-based milk, vanilla extract, and the prepared flax egg. Stir well until the mixture is smooth and homogenous.
Add the wet ingredients to the dry ingredients and mix until fully combined.
Line the base and sides of an 8-inch springform tin with baking parchment.
Pour the batter into the tin and bake for 20 minutes, rotating halfway through.
Remove from the oven and allow the cake to cool completely in the tin.